The finite rank theorem for Toeplitz operators in the Fock space
Functional Analysis
2013-03-13 v1 Complex Variables
Abstract
We consider Toeplitz operators in the Fock space, under rather general conditions imposed on the symbols. It is proved that if the operator has finite rank and the symbol is a function then the operator and the symbol should be zero. The method of proving is different from the one used previously for finite rank theorems, and it enables one to get rid of the compact support condition for symbols imposed previously.
Cite
@article{arxiv.1303.2996,
title = {The finite rank theorem for Toeplitz operators in the Fock space},
author = {Alexander Borichev and Grigori Rozenblum},
journal= {arXiv preprint arXiv:1303.2996},
year = {2013}
}
Comments
11 pages